Summary:
By some unfortunate logic, OCaml often decides to use
`sexp_list`/`sexp_option` instead of just `list`/`option`. Sometimes
these get copy/pasted in interface files.
It would be good to tell OCaml not to do that in the first place but in
the meantime: this diff.
Reviewed By: ngorogiannis
Differential Revision: D17907938
fbshipit-source-id: 7546834a2
Summary:
In a spec, it currently may be that foot.us does not contain xs. So
exec_specs needs to extend the vocabulary of foot before existentially
quantifying out xs.
Reviewed By: ngorogiannis
Differential Revision: D17801933
fbshipit-source-id: 7b4b9262a
Summary:
Previously it was added to the locals before calling Dom.call, but
this results in the scope of freturn ending too early.
Reviewed By: ngorogiannis
Differential Revision: D17801939
fbshipit-source-id: 739ec8981
Summary:
Now that expression types and type sizes can be computed, it is not
necessary to store the sizes of globals separately.
Reviewed By: ngorogiannis
Differential Revision: D17801932
fbshipit-source-id: f746e506b
Summary:
- The `Llvm_target.DataLayout.size_in_bits` needs to be used for checking casts
e.g. it is ok to `bitcast <16 x i1> to i16`: they both have 16 bits, but they have sizes 16 vs 2 bytes
- The `Llvm_target.DataLayout.abi_size` needs to be used for the size of memory blocks containing values
e.g. for the size of memory segments containing the initial values of globals
- The example above shows that we can't compute the byte size from the bit size without knowing the target specific datalayout
- So we need both in each sized type
- Also add checks that Convert exps and terms are not no-ops
- Simplifications of size manipulating code
Reviewed By: ngorogiannis
Differential Revision: D17801928
fbshipit-source-id: 8c8ce6128
Summary:
In order to type-check casts, it is necessary to have the size of each
sized type. This size information is also useful in a few other places.
Reviewed By: bennostein
Differential Revision: D17801931
fbshipit-source-id: f8ef53276
Summary:
Improve Trace.fail to log the error and raise informative exceptions.
Eliminate the confusion between Import.fail and Trace.fail by removing
Import.fail.
Reviewed By: bennostein
Differential Revision: D17725608
fbshipit-source-id: 79fdfbd86
Summary:
The `(t, unit) result` type is no more informative than `t option` and
less convenient.
Reviewed By: bennostein
Differential Revision: D17665244
fbshipit-source-id: fa969d8b7
Summary:
This puts the mediation between Exp and Term together in Sh_domain
rather than being spread across the two.
Reviewed By: bennostein
Differential Revision: D17665235
fbshipit-source-id: edf277d45
Summary:
The move instruction takes a vector of assignments to perform in
parallel, so generalize exec_move from one to a vector.
Reviewed By: bennostein
Differential Revision: D17665248
fbshipit-source-id: 52aae5ff9
Summary:
The sorting of heap blocks when printing formulas was broken by the
change to the direct representation of polynomials.
Reviewed By: bennostein
Differential Revision: D17665246
fbshipit-source-id: 4ebea9f20
Summary: It is not necessary to have both < and >=, and similarly for <= and >.
Reviewed By: bennostein
Differential Revision: D17665232
fbshipit-source-id: 01b3511f5
Summary:
Now that terms operate over unbounded, signed, integers rather than
bounded integers, and Boolean operations are treated uniformly with
bitwise operations, it is not necessary to propagate types throughout
arithmetic term manipulation.
Reviewed By: bennostein
Differential Revision: D17665257
fbshipit-source-id: 5236b101d
Summary:
Z.numbits ignores the sign, which allows 2^(N - 1) as representable
within N bits, while it is not. So check explicitly.
Reviewed By: bennostein
Differential Revision: D17665231
fbshipit-source-id: 0d3940517
Summary:
Instead of having separate signed and unsigned operations, use the
signed operations applied to explicit conversion of the arguments
using an unsigned integer interpretation.
Reviewed By: bennostein
Differential Revision: D17665267
fbshipit-source-id: 0b3271e71
Summary:
Add an Extract term form to interpret an integer with given signedness
and bitwidth.
Reviewed By: bennostein
Differential Revision: D17665263
fbshipit-source-id: 1d8917f3c
Summary:
Be more explicit about semantics of unsigned vs. signed conversions,
and fix a few related corner cases.
Reviewed By: bennostein
Differential Revision: D17665268
fbshipit-source-id: 67fecdf34
Summary:
With terms using unbounded two's complement arithmetic, it is not
necessary to special-case 1-bit integers as Booleans.
Reviewed By: ngorogiannis
Differential Revision: D17665228
fbshipit-source-id: a2f280fc3
Summary:
Remove the guards that prevent normalizing in some cases where the
corresponding instruction in LLVM would produce a poison
value. Usefully tracking poison values will be more involved.
Reviewed By: ngorogiannis
Differential Revision: D17665230
fbshipit-source-id: 59fb25042
Summary:
Revise program expressions based on the changed constraints now that
Term is separate from Exp. In particular:
- Add types to all application, indicating how the operation
interprets its arguments
- Change to a simpler uncurried form
- Remove now-unneeded normalizations
Reviewed By: bennostein
Differential Revision: D17665236
fbshipit-source-id: 1bcf2efd6
Summary:
Boolean and bitwise negation of `e` is represented using `-1 xor
e`. Since Equality can only maintain and propagate equality
constraints, Boolean negation `-1 xor b` is normalized to `b =
false`. This diff delays this normalization from being part of
expression construction to part of symbolic heap formula
construction. This makes the normalization done as part of expression
construction independent of the distinction between bitwise and
boolean operations.
Reviewed By: bennostein
Differential Revision: D17665254
fbshipit-source-id: 0a0722865
Summary:
Splat, Memory, and Concat expressions are never used. Only the term
forms are needed.
Reviewed By: bennostein
Differential Revision: D17665259
fbshipit-source-id: cbfd7650d
Summary:
There are a number if issues with using the same type for expressions
in code and in formulas. One is that the type systems of the two
should be different. Another is that conflating the two compromises
the ability of Llair to correctly express aspects such as integer
overflow, floating point rounding, etc. Also, it could be beneficial
to have more source locations for program expressions than makes sense
for terms.
This diff simply unshares Exp, leading to a copy named Term. Likewise,
Reg is now a copy of Var. Simplifications to come.
Reviewed By: bennostein
Differential Revision: D17665250
fbshipit-source-id: 4359a80d5
Summary:
Using a type of keys richer than strings, which are the unique symbol
names at the C/LLVM level, is unnecessary.
Reviewed By: ngorogiannis
Differential Revision: D17665262
fbshipit-source-id: 6b8c31146
Summary:
The convenience wrappers for operations on signed 1-bit integers
represented by Z.t are not specific to Exp.
Reviewed By: ngorogiannis
Differential Revision: D17665252
fbshipit-source-id: d4b58e2a6
Summary:
Now that the relation domain construction is factored out and
generalized.
Reviewed By: ngorogiannis
Differential Revision: D17665253
fbshipit-source-id: eb156ce6b
Summary:
This diff allows domains to specify which abstract states can or can't
be merged together by the worklist. In particular, this is needed for
relational domains to ensure that Hoare triples are joined only when
they share a precondition.
Reviewed By: jberdine
Differential Revision: D17571148
fbshipit-source-id: d9345fdc9
Summary:
This diff adds a "-prenalyze-globals" flag to all analyze targets
which, when set, computes used-globals sets for all reachable
functions and then uses that information to track only relevant
global variables at calls in the main analysis.
Reviewed By: jberdine, jvillard
Differential Revision: D17526746
fbshipit-source-id: 1a114285c
Summary:
While the symbolic heap analysis ends its search upon hitting the
bound on recursion depth, the used-globals analysis should instead
simply skip recursive calls beyond the depth. Note that this is
unsound for arbitrary abstract domains, however, and the flag
controlling this feature should be used with caution.
Note that procedure calls are still not handled correctly, since
Used_globals.exec_intrinsic does not properly check whether callees
are intrinsic. A forthcoming commit will fix that, as well.
Reviewed By: jberdine
Differential Revision: D17479753
fbshipit-source-id: aa92e0ef3
Summary:
Include global variables used in function callees in used globals
analysis. Also adds support for arbitrary changes to symbolic
state while resolving callees in other analyses.
Reviewed By: jberdine
Differential Revision: D17479352
fbshipit-source-id: e3cd9f179
Summary:
Adds an abstract domain to track global variable usages, as well as supporting
changes to the frontend, IR and CLI. This analysis will support optimizations
to the main symbolic-heap analysis, but for now can be invoked independently
through the `-domain` flag on `analyze` targets of the Sledge executable.
Reviewed By: jberdine
Differential Revision: D17422212
fbshipit-source-id: 74bed0a76
Summary:
Generalize the lifting from State_domain (i.e. symbolic heaps) to Sh_domain (i.e. relations over symbolic heaps).
Also, extract abstract-domain-related code into its own module/directory.
Reviewed By: jberdine
Differential Revision: D17319007
fbshipit-source-id: cefbd1393
Summary: Add support for future development of new abstract domains by eliminating hard-wired dependencies from the worklist into the symbolic heap domain. Also includes an implementation of a trivial unit domain and a CLI flag to enable its use, for debugging purposes.
Reviewed By: jberdine
Differential Revision: D17281681
fbshipit-source-id: 5858fd420
Summary:
While SSA can be useful for code transformation purposes, it offers
little for semantic static analyses. Essentially, such analyses
explore the dynamic semantics of code, and the *static* single
assignment property does not buy much. For example, once an execution
visits a loop body that assigns a variable, there are multiple
assignments that the analysis must deal with. This leads to the need
to treat blocks as if they assign all their local variables, renaming
to avoid name clashes a la Floyd's assignment axiom. That is fine, but
it makes it much more involved to implement a version that is
economical with respect to renaming only when necessary. Additionally
the scoping constraints of SSA are cumbersome and significantly
complicate interprocedural analysis (where there is a long history of
incorrect proof rules for procedures, and SSA pushes the
interprocedural analysis away from being able to use known-good
ones). So this diff changes Llair from a functional SSA form to a
traditional imperative language.
Reviewed By: jvillard
Differential Revision: D16905898
fbshipit-source-id: 0fd835220
Summary:
Before this diff symbolic execution of instructions assumed that
assigned variables were unconstrained in the precondition. This is
ensured by symbolic execution of control flow, which renames all local
variables of a block when it is entered.
This diff changes symbolic execution of instructions to rename
modified variables that appear in the precondition when necessary, and
accounts for the modified variable occurrence condition on the frame
rule. This will enable more economically renaming variables, as most
of the time it is not needed.
Reviewed By: jvillard
Differential Revision: D16905893
fbshipit-source-id: 3a53525d7
Summary:
When using summaries we first garbage collect the precondition and then
ask the solver to infer the frame of the precondition with respect to
grabage-collected footprint.
Currently if the solver fails to show the frame, we just give it an
empty frame. This is bad, because if grabage collection removed some
segments, they don't get added back on.
This patch throws an exception instead to be very explicit when the
solver cannot show the frame in this case.
Reviewed By: ngorogiannis
Differential Revision: D16339587
fbshipit-source-id: b88d0689c
Summary:
The actual implementation of folly::usingJEMalloc() tests if malloc is
jemalloc using internal knowledge of the jemalloc implemenation of
malloc. This internal behavior is not reflected in the analyzer's
spec, so the detection fails.
Additionally, folly::usingJEMalloc is implemented using mallctl to
query internal state of jemalloc. Depending on the key string passed
to mallctl, it might return a pointer to jemalloc internal state, or a
scalar, which means that the spec needs to essentially allocate that
state in those cases.
Since the jemalloc detection fails, and the analyzer is not always
able to reason precisely about string equality, this diff models
folly::usingJEMalloc directly (as nondet).
Reviewed By: kren1
Differential Revision: D16059776
fbshipit-source-id: 7e7156d7d
Summary:
It seems that functions internalized by llvm no longer have valid
mangled names, and instead have a `.<int>` suffix. This diff removes
these unpredictable suffixes when checking if a called function is a
specified/modeled intrinsic.
Reviewed By: kren1
Differential Revision: D16059781
fbshipit-source-id: a4b9f6c73
Summary:
A frame inference query `Minuend ⊢ ∃xs. Subtrahend` returns a
`∃zs. Remainder` formula such that `Minuend ⊢ ∃xs. Subtrahend *
∃zs. Remainder` when successful. Currently if the subtrahend is itself
existentially quantified, its existentials are treated trivially: they
must witness themselves. This diff allows the solver to find witnesses
as the `xs`. They are still existentially quantified in the remainder,
so clients that need to constrain them should still name them before
calling the solver.
Reviewed By: kren1
Differential Revision: D16269630
fbshipit-source-id: 65136edd1
Summary:
If function summaries are enabled calling a function first tries to
apply a summary, if succesful, it directly jumps to the return site of
the call. Otherwise it proceeds as before.
Reviewed By: jvillard
Differential Revision: D16201251
fbshipit-source-id: cec52e0e5
Summary:
Define a new function summary type and compute it on function return.
As an intermediary step also apply the just computed summary to function
pre so it can be compared to what was actually computed.
Reviewed By: jvillard
Differential Revision: D16149833
fbshipit-source-id: b826c17e8
Summary:
Fix a crash that occurs when subtrahend has an existential variable that
was renamed as in the test.
The crash is due to an assertion in `Sh.exists` that says only variables
in the vocabulary can be existentialy quantifed out.
The problem was `Sh.exists` call in Solver.ml:611. Where `ws`
(existentials of the subthrehend) are not present in the vocabulary of
the remainder. This is because remainder "inheirts" the vocabulary of
the minued.
This fix simply extends the vocabulary of minued with `ws`, which
means the remaainder has the correct vocabulary. This should have no
externally visible effect as `ws` are then existentialed out.
Another option would be to try to change all the `excise_seg` functions,
to keep the vocabulary, but that looked annoying to implement.
Reviewed By: jvillard
Differential Revision: D16201423
fbshipit-source-id: b88c3abc4
Summary:
Add a `-color` option to sledge, that prints variable that are
existentially bound as bold.
Reviewed By: ngorogiannis
Differential Revision: D16088750
fbshipit-source-id: bd21cb8a0
Summary:
This fixes two bugs:
* All local variables would get existentially quantified out, that means
the the local variables of the caller couldn't be restored properly
* Frame was added back on after the formals were killed. Which meant
that if frame talked about formals (in pure for example), those
formals would remain to be free variables.
Reviewed By: ngorogiannis
Differential Revision: D16091157
fbshipit-source-id: dfe12ed82
Summary:
This fixes two issues with function summarization when calling a
function multiple times.
* Previously on return, the actuals wouldn't get added back in, so
their name would be "lost" (that is existentially quantified out),
this patch adds the formals to actuals equalities back on return,
before quantifying the formals out.
* Previously the entry state of the function would be lost if there were
multiple calls to other functions.
Reviewed By: jberdine
Differential Revision: D16071656
fbshipit-source-id: 9df7b1d4b
Summary:
Each call to __cxa_allocate_exception, in practice, is shortly
followed by raising an exception. With -skip-throw, execution will not
proceed past the throw. Since the concrete implementation of
__cxa_allocate_exception and the following initialization of the
exception object is very low-level code that plays tricks, the
analyzer has trouble with it. So model __cxa_allocate_exception as
unreachable to avoid (needlessly) executing that code and potentially
failing spuriously.
Reviewed By: kren1
Differential Revision: D16069451
fbshipit-source-id: bea1dae09
Summary:
Allow intrinsics to return an inconsistent state, to specify that they
do not return.
Reviewed By: kren1
Differential Revision: D16069453
fbshipit-source-id: deb5d2a22
Summary:
The report output got disturbed by the change from predicate to
relational Domain, and the tricky control of printing simplified
states. After this diff by default states are printed in full, and in
simplified form with `-t State_domain.pp_simp`.
Also includes some minor output improvements.
Reviewed By: kren1
Differential Revision: D16059780
fbshipit-source-id: b33289887
Summary:
This diff enhances `-function-summaries` to remember the frame computed by
the solver and actually execute the function using the summary. Upon
return the frame is added back on the computed post condition.
Reviewed By: ngorogiannis
Differential Revision: D15900318
fbshipit-source-id: 8bb56b771
Summary:
This diff is preparation for function summarization and focuses on
function calls and function summary precondition computation.
It introduces `-function-summaries` flag behind most of functionality is
hidden, when enabled on each call
* A function summary is computed by quantifying all the non-formal/global variables
and removing all the segments that are not reachable from them
* `pre` and `foot` are computed from function summary and the calling context
by replacing formals with actuals again.
* A solver is asked if `pre` entails `foot` and a frame is printed if it
does
Currently this only works for formulas without disjunctions, so when
function summaries are enabled, that state is first moved to dnf and then
the call is done for each disjunct.
Reviewed By: ngorogiannis
Differential Revision: D15898928
fbshipit-source-id: 49d32504c
Summary:
The entry block contains all locals of the entire function, as
required by the backend. This makes the manipulation of the locals of
each block redundant.
This diff moves the locals from the entry block to the function
itself, removes the Locals frames of the Control.Stack, and adds a
locals field to Return frames.
This is part cleanup and part preparation for removing the
Control.Stack.
Reviewed By: ngorogiannis
Differential Revision: D15963503
fbshipit-source-id: 523ebc260
Summary:
The current handling of the formal return variable scope is not
correct. Since it is passed as an actual argument to the return
continuation, it is manipulated as if it was a local variable of the
caller. However, its scope is not ended with the caller's locals,
leading to clashes.
This diff reworks the passing of return values to avoid this problem,
mainly by introducing a notion of temporary variables during parameter
passing. This essentially has the effect of taking a function spec
{ P } f(x) { λv. Q }
and generating a "temporary" variable v, applying the post λv. Q to it
to obtain the pre-state for the call to the return continuation
k(v). Being a temporary variable just means that it goes out of scope
just after parameter passing. This amounts to a long-winded way of
applying the post-state to the formal parameter of the return
continuation without violating scopes or SSA.
This diff also separates the manipulation of the symbolic states as they
proceed from:
1. the pre-state before the return instruction;
2. the exit-state after the return instruction (including the binding
of the returned value to the return formal variable);
3. the post-state, where the locals are existentially quantified; and
4. the return-state, which is expressed in terms of actual args
instead of formal parameters.
Also in support of summarization, formal return and throw parameters
are no longer tracked on the analyzer's stack.
Note that these changes involve changing the locals of blocks and
functions to no longer include the formal parameters.
Reviewed By: kren1
Differential Revision: D15912148
fbshipit-source-id: e41dd6e42
Summary:
The solver couldn't deal with `∃ a,b . a = b` , so this diff adds
a special case to deal with it.
Reviewed By: ngorogiannis
Differential Revision: D15897953
fbshipit-source-id: d841d3557
Summary:
Currently printing symbolic heaps is unreadable, because there are too
many quantified variables, that are mostly just equal to other
variables.
This diff tries to replace all variables in an equivalence class with a
single variable and remove the unneccesary variables.
It also introduces two modes for printing state domains:
`-t +State_domain.pp_full` prints the state domain as is
`-t +State_domain.pp` uses the simplification before printing.
Reviewed By: jberdine
Differential Revision: D15738748
fbshipit-source-id: 7c85b580e
Summary:
Print pre- and post- conditions (aka, summaries) when analyzer hits a
function return
- plumbing the precondition through the analyzer
so that it is available when return is hit
Reviewed By: jberdine
Differential Revision: D15713725
fbshipit-source-id: b10b6206f
Summary:
This diff adds a formal parameter to each non-void-returning function
to name the return value, and similarly a formal parameter for the
thrown exception value. These are interpreted as call-by-reference
parameters, so that they can be constrained in formulas to e.g. be
equal to the return value, and are still in scope when the function
returns, and so can be passed to the return block. Prior to
summarizing functions, this means that these formals need to be
tracked on the analyzer's control stack.
This will be needed to express function specs/summaries in terms of
formals, and fixes a bug where in some cases return values were not
tracked correctly.
Reviewed By: kren1
Differential Revision: D15738026
fbshipit-source-id: fff2d107c
Summary:
Do not implicitly open `Trace`, which shadows `Import.fail`, and
degrades uncaught exceptions. Opening `Trace` was a mistake.
Reviewed By: kren1
Differential Revision: D15653730
fbshipit-source-id: d65277af5
Summary:
Global variables have pointer type. The size needed by the backend is
of the element type, not of the pointer itself. This diff corrects
this.
Reviewed By: kren1
Differential Revision: D15577756
fbshipit-source-id: 948ecf3cd
Summary:
Add shortcut code paths to return early in some cases guaranteed to be
the identity function.
Reviewed By: ngorogiannis
Differential Revision: D15468704
fbshipit-source-id: f137049c6
Summary:
It is pointless to track membership of atomic exps in the congruence
relation, as they cannot have any subexps which might later become
equal to something else.
Reviewed By: jvillard
Differential Revision: D15424820
fbshipit-source-id: 048dbc9e1
Summary:
For some Exp forms, Exp.solve is not complete, and this is necessary
since the result of solve is a substitution that needs to encode the
input equation as a conjunction of equations each between a variable
and an exp. This is tantamount to, stronger even than, the theory
being convex. So Exp.solve is not complete for some exps, and some of
those have constructors that perform some simplification. For example,
`(1 ≠ 0)` simplifies to `-1` (i.e. true). To enable deductions such as
`((x ≠ 0) = b) && x = 1 |- b = -1` needs the equality solver to
substitute through subexps of simplifiable exps like = and ≠, as it
does for interpreted exps like + and ×. At the same time, since
Exp.solve for non-interpreted exps cannot be complete, to enable
deductions such as `((x ≠ 0) = (y ≠ 0)) && x = 1 |- y ≠ 0` needs the
equality solver to congruence-close over subexps of simplifiable exps
such as = and ≠, as it does for uninterpreted exps.
To strengthen the equality solver in these sorts of cases, this diff
adds a new class of exps for = and ≠, and revises the equality solver
to handle them in a hybrid fashion between interpreted and
uninterpreted.
I am not currently sure whether or not this breaks the termination
proof, but I have also not managed to adapt usual divergent cases to
break this. One notable point is that simplifying = and ≠ exps always
produces genuinely simpler and smaller exps, in contrast to
e.g. polynomial simplification and gaussian elimination.
Note that the real solution to this problem is likely to be to
eliminate the i1 type in favor or a genuine boolean type, and
translate all integer operations on i1 to boolean/logical ones. Then
the disjunction implicit in e.g. equations between disequations would
appear as actual disjunction, and could be dealt with as such.
Reviewed By: jvillard
Differential Revision: D15424823
fbshipit-source-id: 67d62df1f
Summary:
There are two motivations for this:
1. Distinguish between `Unreachable`, which silently terminates
execution a la `assume false`; and `Abort`, which vocally
terminates execution a la `assert false`.
2. Distinguish between undefined functions, which have `Unreachable`
bodies, and bomb functions such as:
```
define void bomb() {
tail call void llvm.trap()
unreachable
}
```
Reviewed By: ngorogiannis
Differential Revision: D15408246
fbshipit-source-id: b64354cdb
Summary: Also fix the spec for posix_memalign, and minor cleanup.
Reviewed By: ngorogiannis
Differential Revision: D14403648
fbshipit-source-id: 6b1cb3e3a
Summary:
The SL solver is currently not always able to append segments which
have been split symbolically, that is, at an internal point expressed
using a variable, rather than merely a constant.
Also, existential instantiation, that is, the choice of witnesses
during proof search, is currently sensitive to the order of
subformulas. This can lead to fragile incompleteness.
Reviewed By: mbouaziz
Differential Revision: D14481991
fbshipit-source-id: 80fe2f0a8
Summary:
Strengthen the Sh.seg constructor and Sh.is_false test to account for
the axiom that `null -[_;_)-> ⟨_,_⟩` is inconsistent.
Reviewed By: ngorogiannis
Differential Revision: D14481986
fbshipit-source-id: 7016e7451
Summary:
The dnf implementation dates to before nested existentials were
added. Updating it was overlooked, and it is just wrong.
Reviewed By: ngorogiannis
Differential Revision: D14481988
fbshipit-source-id: 9bba570f0
Summary:
P ∨ (∃x. Q ∨ R) could be simplified to (∃x. P ∨ Q ∨ R) and capture
occurrences of x in P.
Reviewed By: ngorogiannis
Differential Revision: D14481990
fbshipit-source-id: 92b474d59
Summary:
Also minor change to make strlen implementation syntactically closer
to spec.
Reviewed By: ngorogiannis
Differential Revision: D14403647
fbshipit-source-id: 48c771329
Josh Berdine
Jules Villard
Benno Stein
Timotej Kapus